Hello,
Vertices are on a line parallele at ox (y=-3)
The hyperbola is horizontal.
Equation is (x-h)²/a²- (y-k)²/b²=1
Center =middle of the vertices=((-2+6)/2,-3)=(2,-3)
(h+a,k) = (6,-3)
(h-a,k)=(-2,-3)
==>k=-3 and 2h=4 ==>h=2
==>a=6-h=6-2=4 (semi-transverse axis)
Foci: (h+c,k) ,(h-c,k)
h=2 ==>c=8-2=6
c²=a²+b²==>b²=36-4²=20
Equation is:
The equation that best describes the distance traveled is y = 190 + 65x.
Finding the values of the variables that lead to the stated equality being true is a step in the process of solving an equation with variables. Equation solutions are the amounts of the unknowns that meet the equality, whereas unknowns are the variables with which the equation must be solved.
Identity equations and conditional equations are the two types of equations. For every possible value of a variable, an identity holds true. The variables in a conditional equation can only have certain values.
An equation is made up of two expressions connected together by an equals symbol ("=").
The Distance traveled by car is 190 miles
The Speed of the car is 65 miles per hour.
Let x be the total number of hours traveling by car and y be the total distance remaining.
Then,
Total distance = 190 miles + 65 miles per hour × Number of hours traveled.
y = 190 + 65x
Consequently, the equation is y = 190 + 65 x.
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Answer:
18. g= -3
19. x= -1
20. n= 3
21. p= -1
22. d= -3
23. a= 5
Step-by-step explanation:
how to solve the variable (using 18 as an example)
step 1: simplify both sides of the equation.
20+g+g=14
(g+g)+(20)=14(combine like terms)
2g+20=14
2g+20=14
step 2: subtract 20 from both sides.
2g+20−20=14−20
2g=−6
step 3: divide both sides by 2.
2g/2 = -6/2
Answer:
440 hours
Step-by-step explanation:
In this case the aircraft has completed one cycle of service in the first 454 hours of service. Then making the difference between the hours of service and the hours of the first cycle we have:
Hours of the second cycle= Total time in service- time Airworthiness Directive
=468-454=14
Then we have 14 hours of service and need to accumulate the rest to complete 454. It is
454-14=440
Then we need to accumulate 440 hours additional to complete the Airworthiness Directive .
